Solve for x. (x - 6)(x + 6) 3. ______

Plot Zeros and Test Intervals: Plot the zeros on a number line and test the intervals. The intervals are (-∞, -6), (-6, 6), and (6, ∞).Test Interval (-∞, -6): Test the interval (-∞, -6) by picking a number less than -6, say -7. (-7 - 6)(-7 + 6) = (-13)(-1) = 13, which is positive.Test Interval (-6, 6): Test the interval (-6, 6) by picking a number between -6 and 6, say 0. (0 - 6)(0 + 6) = (-6)(6) = -36, which is negative.Test Interval (6, ∞): Test the interval (6, ∞) by picking a number greater than 6, say 7. (7 - 6)(7 + 6) = (1)(13) = 13, which is positive.Identify Negative Product Interval: Since we want (x - 6)(x + 6) < 0, the solution is the interval where the product is negative. The product is negative in the interval (-6, 6).Write Compound Inequality: Write the solution as a compound inequality. -6 < x < 6.

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Solve for $x$ . $\newline$ (x - 6)(x + 6) < 0 $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

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Solve quadratic inequalities

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Q. Solve for

x

\newline

(x - 6)(x + 6) < 0

\newline

Write a compound inequality like

1 < x < 3

or like

x < 1

x > 3

Plot Zeros and Test Intervals: Plot the zeros on a number line and test the intervals. The intervals are $(-\infty, -6)$ , $(-6, 6)$ , and $(6, \infty)$ .
Test Interval $(-\infty, -6)$ : Test the interval $(-\infty, -6)$ by picking a number less than $-6$ , say $-7$ . $(-7 - 6)(-7 + 6) = (-13)(-1) = 13$ , which is positive.
Test Interval $(-6, 6)$ : Test the interval $(-6, 6)$ by picking a number between $-6$ and $6$ , say $0$ . $(0 - 6)(0 + 6) = (-6)(6) = -36$ , which is negative.
Test Interval $6, \infty):</b> Test the interval \$6, \infty) by picking a number greater than \$6$ , say $7$ . $(7 - 6)(7 + 6) = (1)(13) = 13$ , which is positive.
Identify Negative Product Interval: Since we want (x - 6)(x + 6) < 0, the solution is the interval where the product is negative. $\newline$ The product is negative in the interval $(-6, 6)$ .
Write Compound Inequality: Write the solution as a compound inequality. -6 < x < 6.

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Solve for xxx.\newline (x - 6)(x + 6) < 0 \newlineWrite a compound inequality like 1 < x < 3 or like x < 1 or x > 3.

Solve for $x$ . $\newline$ (x - 6)(x + 6) < 0 $\newline$ Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3.